Frequency Domain Sufficient Conditions for Stability Analysis of Linear Neutral Time-Delay Systems

In this paper, we study the problem of stability of linear neutral time-delay systems. Specifically, using the notion of structured phase margin, which characterizes stability margins in terms of a nominal plant transfer function in the presence of unknown structured phase perturbations, we derive several new frequency-domain sufficient conditions for stability of linear neutral time-delay systems. We provide both delay-independent as well as delay-dependent sufficient conditions for stability.

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